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Pre-Technical Foundation Skills

Basic Industrial Math

Course #: Block X21
Duration: 30 hours
What Students Learn: This module of six study units offers the trainee arithmetic and basic mathematics, metric measurement, and calculator fundamentals. The Metric System is an introductory unit which includes metric conversions. Problem exercises and examples in this module are presented in on-the-job scenarios with applications drawn from the industrial context.
Components: Addition and Subtraction (186008); Multiplication and Division (186009); Fractions, Percents, Proportions, and Angles (186010); Metric System (186011); Formulas (186012); Introduction to Algebra (186013);
Special Notes: This updated course replaces lessons contained within Practical Math and Measurements, Block X01. Each study unit contains a progress examination.

Addition and Subtraction

Course #: 186008
Duration: 5 hours
What Students Learn:

  • Define the terms: whole number, numeral, digit, decimal, place value, addend, sum, minuend, subtrahend, and difference.
  • Explain the significance of the digit zero in a number.
  • Differentiate between concrete and abstract numbers.
  • Properly prepare numbers for addition and subtraction.
  • Perform addition and subtraction on numbers.
  • How to check your answers to both addition and subtraction problems.
  • How to use a calculator to add and subtract numbers.


Multiplication and Division

Course #: 186009
Duration: 5 hours
What Students Learn:

  • Define the terms: factor, multiplicand, multiplier, partial product, dividend, divisor, quotient, and remainder.
  • Recognize the various signs used for multiplication and division.
  • Properly prepare numbers for multiplication and division.
  • Perform multiplication and division on whole numbers and decimals.
  • How to check your answers to both multiplication and division problems.
  • How to find the average of a group of numbers.
  • How to use a calculator to multiply and divide numbers.

    • Fractions, Percents, Proportions, and Angles

    Course #: 186010
    Duration: 5 hours
    What Students Learn:

  • Define the terms: fraction, proper fraction, improper fraction, lowest common denominator, percent, ratio, and proportion.
  • How to add, subtract, multiply, and divide fractions and decimals.
  • How to change fractions to decimals and decimals to fractions.
  • Solve problems involving percent.
  • How to use a protractor to measure angles.
  • Lay out templates for checking angles.
  • How to use a calculator to solve percent problems and to convert fractions to decimals.

    • Metric System

    Course #: 186011
    Duration: 5 hours
    What Students Learn:

  • Name the base units most commonly used in the metric system.
  • Identify metric prefixes and their values.
  • Apply conversion factors to increase or decrease metric base units.
  • Estimate lengths in metric units.
  • Express temperature in degrees Celsius.
  • Define the terms: mass, density, force, torque, and pressure. Identify the metric units used to measure each one.
  • How to use a calculator to convert one metric unit to another.

    • Formulas

    Course #: 186012
    Duration: 5 hours
    What Students Learn:

  • Explain the use of letters in formulas.
  • Prepare and use formulas to solve problems.
  • The use of formulas to calculate the perimeter of a triangle and rectangle, distance, area of a triangle, rectangle, and circle, volume of a pyramid, current in a circuit, and volume of a sphere.
  • How to use a calculator to find square root and solve formulas.
  • Transform and solve an equation.
  • Perform basic arithmetic operations with signed terms.
  • Substitute given numerical values for letters in a formula and find the unknown quantity.

    Special Notes: This updated course replaces 2468.

    • Introduction to Algebra

    Course #: 186013
    Duration: 5 hours
    What Students Learn:

  • Define the terms: term, constant, coefficient, exponent, monomial, trinomial, and polynomial.
  • Identify and combine like terms in an expression.
  • Multiply and divide terms containing exponents.
  • Remove parentheses from an expression and simplify the expression.
  • Perform basic arithmetic operations with signed terms.

    • Practical Measurements

    Course #: Block X22
    Duration: 25 hours
    What Students Learn: The five lessons in this block present the trainee with a broad overview of measurements found in an industrial setting. In addition to the basic measurements of length, temperature, energy, force, and power, the trainee will learn how materials are measured and handled in bulk quantities. Fluid measurements include the measuring of fluid flow, fluid pressure, and fluid level. All lessons include the metric conversions in addition to the English units.
    Components: Temperature Measurement (186023); Linear and Distance Measurement (186021); Bulk Measurement (186022); Energy, Force, and Power (186024); Fluid Measurement (186025);
    Special Notes: This updated course replaces the X0105 to X0109 lessons found in Practical Math and Measurements, Block X01. Each study unit contains a progress examination.

    Linear and Distance Measurement

    Course #: 186021
    Duration: 5 hours
    What Students Learn:

  • Recognize the difference between English and metric units of length.
  • Find the perimeter of rectangular, square, or triangular areas or objects, such as rooms or machine bases, after measuring the sides.
  • Calculate the circumference of circular objects like pipes of tanks after measuring the diameter.
  • Measure lengths with the aid of rigid and flexible rules, thickness gauges and screw pitch gauges.
  • Read a typical vernier scale and micrometer to take precise measurements.

    • Bulk Measurement

    Course #: 186022
    Duration: 5 hours
    What Students Learn:

  • Measure an angle by degrees.
  • Find the areas of rectangles, triangles, and circles.
  • Find the volumes of prisms, cylinders, and cones.
  • Find the weight of material stored in a container.
  • Determine the amount of material that can be stored or handled.
  • Discuss the types and uses of conveyors and weighing systems.

    • Temperature Measurement

    Course #: 186023
    Duration: 5 hours
    What Students Learn:

  • Change temperature units from one system to another.
  • Discuss the use of the various types of thermometers.
  • Select the type of thermometer to be used at certain temperatures.

    • Energy, Force, and Power

    Course #: 186024
    Duration: 5 hours
    What Students Learn:

  • Distinguish between the concepts of energy, force, and power.
  • Explain what the term "work" means, and how it is measured.
  • Know by sight the basic machines, lever, inclined plane, wedge, wheel and axle, and screw.
  • Solve simple problems that involve levers, mechanical advantage, and machine efficiency.
  • List the forms of energy that have important industrial applications, and the instruments used for measuring energy.

    • Fluid Measurement

    Course #: 186025
    Duration: 5 hours
    What Students Learn:

  • Understand the properties of fluids.
  • Determine the density, specific gravity, and viscosity of fluids.
  • Express pressure in three different units.
  • Measure the pressure of fluids using manometers and Bourdon tubs pressure gages.
  • Measure the flow rate of fluids using different types of flowmeters.

    • Algebra: Monomials and Polynomials

    Course #: X0201
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Remove grouping symbols from algebraic expressions, dividing by a monomial when indicated.
  • Multiply binomials by monomials, trinomials, and other inomials.
  • Calculate the square root and the third power of given monomials.
  • Find special products involving binomials.
  • Divide one polynomial by another polynomial of lower degree.

    • Algebra: Factoring

    Course #: X0202
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Find the prime factors of certain binomials and trinomials.
  • Factor a given trinomial.
  • Use the Factor Theorem to factor a given polynomial.
  • Use factoring to find the roots of an equation.
  • Divide one polynomial by another polynomial of lower degree.
  • Find the lowest common multiple of several polynomials.

    • Algebra: Addition and Subtraction of Fractions

    Course #: X0203
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize equivalent algebraic fractions.
  • Perform additions and subtractions involving algebraic fractions.
  • Reduce an algebraic fraction to its lowest terms.
  • Find the least common denominator for a group of algebraic fractions.

    • Algebra: Multiplication and Division of Fractions

    Course #: X0204
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Perform multiplications and divisions involving algebraic fractions.
  • Reduce an algebraic fraction to its lowest terms.
  • Find the least common denominator for a group of algebraic fractions.
  • Solve equations involving fractions or decimals.
  • Simplify complex fractions.

    • Applied Geometry

    Course #: X0211
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Recognize characteristics of angles and closed plane figures.
  • Distinguish between common geometric solids.
  • Apply the Pythagorean theorem.
  • Calculate perimeters and areas of a polygon, circle, and ellipse.
  • Apply the formula for area and volume of geometric solids.

    • Practical Trigonometry

    Course #: X0212
    Duration: 6 hours
    Course Prerequisites: Basic Industrial Math (Block X21); Practical Measurements (Block X22);
    What Students Learn:

  • Define trigonometric functions.
  • Use trigonometric tables and apply interpolation.
  • Solve right triangles.
  • Apply the laws of sines and cosines in solving oblique triangles.

    • Trades Safety: Getting Started

    Course #: 186001
    Duration: 5 hours
    What Students Learn: Preview
    A thorough knowledge of safe practices is an important part of working in any industrial setting. Every industrial worker should be familiar with accident prevention techniques, fire safety mehods, and the use of personal protective equipment.
    Injuries in the workplace cost many millions of dollars in medical costs, lost wages, and production losses each year. Many injuries can be prevented by understanding how accidents and injuries can occur. This study unit is designed to help trainees understand why safety is so important, and to present students with information about safety that goes beyond common sense.

    Objectives
    When a student completes this study unit, he and she will be able to:

  • Name the agencies that make and enforce safety regulations and explain an employees responsibilities under those regulations.
  • List the physical hazards associated with chemicals and describe how to avoid those hazards.
  • Name several electrical shock hazards and the techniques used to prevent shocks.
  • List the steps in a lock-out / tag-out procedure.
  • Explain the importance of machine guarding and name several types of machine guards.
  • Name the four classes of fire and how to extinguish each of them.
  • Describe the proper technique used to lift a heavy load.
  • Explain how to avoid hand injuries when using hand and power tools.
  • List some of the hazards involved in welding and hot cutting operations and how to prevent them.
  • Explain how job analysis and the science of ergonomics are used to improve the workplace.
  • Explain the importance of personal protective equipment and name several types of PPE.

    Contents
    Introduction; Safety Regulations; Key safety Issues; Protecting Yourself and Your Co-workers.

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